Charge and Spin Dynamics of Interacting Fermions in a One-Dimensional Harmonic Trap

Journal Article · Fri May 06 00:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.94.176802· OSTI ID:20696247

Kecke, Lars; Grabert, Hermann ^[1]; Haeusler, Wolfgang ^[2]

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1. Physikalisches Institut, Universitaet Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg (Germany)
2. Institut fuer Theoretische Physik, Universitaet Erlangen, Staudtstr. 7, D-91058 Erlangen (Germany)

We study an atomic Fermi gas interacting through repulsive contact forces in a one-dimensional harmonic trap. Bethe-ansatz solutions lead to an inhomogeneous Tomonaga-Luttinger model for the low energy excitations. The equations of motion for charge and spin density waves are analyzed both near the trap center and near the trap edges. While the center shows conventional spin-charge separation, the edges cause a giant increase of the separation between these modes.

• OSTI ID: 20696247
• Journal Information: Physical Review Letters, Vol. 94, Issue 17; Other Information: DOI: 10.1103/PhysRevLett.94.176802; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
CHARGE DENSITY
EQUATIONS OF MOTION
EXCITATION
FERMI GAS
MATHEMATICAL SOLUTIONS
ONE-DIMENSIONAL CALCULATIONS
SPIN
TRAPS